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Finding the Third Proportional to 238.92 and 306.49

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Solution

The third proportional to 238.92 and 306.49 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.92 : 306.49 = 306.49 : x
  2. Step 2: Convert to fraction form
    238.92/306.49 = 306.49/x
  3. Step 3: Cross multiply
    238.92x = 306.49 × 306.49
  4. Step 4: Simplify right side
    238.92x = 93,937.46
  5. Step 5: Solve for x
    x = 93,937.46/238.92
  6. Step 6: Final answer
    x = 393.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.